Linear Equations - Word Problems - mixed

Front

What does the equation y = mx + b represent in a linear equation?

Back

It represents the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

In the equation y = 2.50x + 225, what does x represent?

Back

x represents the number of posters ordered.

Front

If Nick orders 400 posters using the equation y = 2.50x + 225, what is the total cost?

Back

$1225.00

Front

How do you find the total cost in a linear equation?

Back

Substitute the value of x into the equation and solve for y.

Front

In the equation y = 120x + 250, what does y represent?

Back

y represents the total cost for renting the event hall.

Front

If Alan paid $790.00 for renting the hall, how many hours did he rent it if the equation is y = 120x + 250?

Back

4.5 hours.

Front

What is the slope in the equation y = 120x + 250?

Back

The slope is 120, indicating the cost per hour of renting the hall.

Front

What is the y-intercept in the equation y = 120x + 250?

Back

The y-intercept is 250, representing the base cost before any hours are added.

Front

How do you determine the equation of a line from a graph?

Back

Identify two points on the line, calculate the slope, and use the slope-intercept form.

Front

What is the equation of the line if the slope is -2 and the y-intercept is 5?

Back

y = -2x + 5.